Greatest Common Factor of 13/901, 44/515, 561/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/901, 44/515, 561/101

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 13/901,44/515,561/101

Given fractions are 13/901,44/515,561/101

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 13,44,561

Greatest Common Factor of Numerators i.e. GCF of 13,44,561 is 1 .

LCM of Denominators means LCM of 901,515,101 as per the given fractions.

LCM of 901,515,101 is 46865515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,44,561

GCF of Fractions 13/901,44/515,561/101 is 1/46865515

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 13,44,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,44,561 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 13,44,561 . The biggest common factor number is the GCF number.
So the greatest common factor 13,44,561 is 1.

Lets's calculate LCM of 901,515,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 46865515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46865515

Therefore, the GCF of Fractions 13/901,44/515,561/101 is 1/46865515

Least Common Multiple of 901,515,101 with GCF Formula

Least Common Multiple of 901,515,101 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 901,515,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,515,101) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(901,515,101) x common factors =1 x 1 = 1

LCM(901,515,101) = ( 901 × 515 × 101 ) / 1

LCM(901,515,101) = 46865515 / 1

LCM(901,515,101) = 46865515


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 13/901, 44/515, 561/101

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 13/901, 44/515, 561/101?

Answer: GCF of Numerators as per given numbers 13/901, 44/515, 561/101 is

GCF of Numerators i.e. for 13,44,561 is 1

LCM of denominators i.e. for 901,515,101 is 46865515.

Thus, GCF of Fractions is 1/46865515.Finally, GCF of Fractions for 13/901, 44/515, 561/101 is 1/46865515.